Time Dilation of Charged Particle "p

[jartsa]

Picture:

     -           -             -
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    p ->

   
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    +            +            +

Positively charged particle "p" is initially moving to the right between two capacitor plates.

Is the motion of the particle to the righ a clock that time dilates, as particle accelerates upwards?

 

[PeterDonis]

Is the motion of the particle to the righ a clock that time dilates, as particle accelerates upwards?

I'm not sure what you mean by the motion being a clock. Relative to the frame in which the plates are at rest, the particle will be increasingly time dilated, yes, since its speed relative to that frame is increasing.